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\(\Phi\)-convex functions defined on metric spaces

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Publication:1407372
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DOI10.1023/A:1023296417861zbMath1057.49017OpenAlexW19344912MaRDI QIDQ1407372

Stefan Rolewicz

Publication date: 16 September 2003

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023296417861


zbMATH Keywords

Banach spacesFréchet differentiabilitysubdifferentialAsplund theorem


Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Fréchet and Gateaux differentiability in optimization (49J50) Programming in abstract spaces (90C48) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)


Related Items (7)

Variational analysis of paraconvex multifunctions ⋮ Characterization of quadratic mappings through a functional inequality ⋮ Abstract convex optimal antiderivatives ⋮ Lipschitz maps and primitives for continuous functions in quasi-Banach spaces ⋮ Unnamed Item ⋮ Exact penalty functions and calmness for mathematical programming under nonlinear perturbations ⋮ Separation of convex sets by Clarke subdifferential




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